1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
astraxan [27]
3 years ago
15

Solve the following system of equations by substitution and select the correct answer below:

Mathematics
2 answers:
forsale [732]3 years ago
7 0

Answer: x = 18, y = 3

Step-by-step explanation:

Given system of liner equation is :-

2x-4y=24.....(1)\\4x-12y=36..........(2)

From (1), we get

2x=24+4y\\\Rightarrow x=12+2y.........(3)

Substitute the value of x in equation (2), we get

4(12+2y)-12y=36\\\Rightarrow\ 48+8y-12y=36\\\Rightarrow-4y=36-48\\\Rightarrow\ -4y=-12\\\Rightarrow\ y=3

Now, substitute the value of y in (3), we get

x=12+2(3)=12+6=18

x = 18, y = 3

yarga [219]3 years ago
6 0
X=(24+4y)/2

4(24+4y)/2-12y=36
48+8y-12y=36
4y=12
y=3

2x-4x3=24
2x=36
x=18

Correct answer: A
You might be interested in
On Monday, Mr. Roberts drove 42 miles. On Tuesday, he drove 5 miles more than half the distance he drove on Monday. Which expres
butalik [34]

Answer: Last option

(42÷2) +5

Step-by-step explanation:

We know that Mr. Roberts drove 42 miles on Monday.

On Tuesday Mr. Roberts drove half of what he drove on Monday plus 5 miles.

If we want to know how many miles Mr. Roberts drove on Tuesday then we should divide 42÷2 to find half of 42.

\frac{42}{2} = 21

Then we know that in addition to the 21 miles he drove 5 more miles. Then we add 21 +5 = 26 miles.

So the expression that gives us the number of miles that Mr. Roberts drove on Tuesday is:

(42÷2) +5

3 0
3 years ago
Sally went 3.5 miles per hour on a treadmill for 5 hours. She was sore and decided to take 400 mg of Advil. The half portion sta
xenn [34]

Answer:

8 hours

Step-by-step explanation:

it says: The half portion stays in her body for 8 hours.

8 0
3 years ago
Suppose you have a bag of red, blue, and yellow marbles. If the probability of picking a red marble is start fraction 1 over 6 e
Alona [7]

Answer: B. one-third

Step-by-step explanation:

Probability of picking a red marble, P(R) = 1/6

Probability of picking a yellow marble, P(Y) = 1/2

Therefore, the probability of picking a blue marble will be:

= 1 - (P(R) + P(Y))

= 1 - (1/6 + 1/2)

= 1 - (4/6).

= 1 - 2/3

= 1/3

The probability of picking a blue marble will be one third

8 0
3 years ago
O
babymother [125]

The second one, fourth one, and sixth one are true.

Hope this helps!

8 0
3 years ago
A sum of money invested at 8% per annum for simple interests amounts to $12122 in 2 years.What ill it amounts to in 2 years 8 mo
Jobisdone [24]

Answer:

  $12,958

Step-by-step explanation:

The total amount of the account, principal plus interest, is given by ...

  A = P(1 +rt)

The given information tells us ...

  12,122 = P(1 + .08×2) = 1.16P

Then the principal amount is ...

  12,122/1.16 = 10,450

__

When that same amount is invested using a different rate and time period, it becomes ...

  A = 10,450(1 + .09×(2 2/3)) = 10,450×1.24 = 12,958

It will amount to $12,958 in 2 years 8 months at 9%.

3 0
3 years ago
Other questions:
  • Srekar needs to increase the size of the prism below by 2 inches on each side. The original prism has a length of 3, a depth of
    14·1 answer
  • A cold front moved in last weekend. In 8 hours overnight, the temperature outside dropped from 14 degrees to -10. What was the a
    15·2 answers
  • Find the area of the following shape. You must show all work to receive credit. (10 points) Figure ABCDEF is shown.
    11·2 answers
  • Please look at the questions again! Some of the answers are incorrect. Here is a hint: For question 1, you should not spend more
    12·1 answer
  • Write a whole number that is greater than 10910099999
    10·2 answers
  • A jar of jelly that weighs 4.25 ounces costs $2.89. What is the cost of one ounce of jelly?
    5·1 answer
  • What best describes the expression y over 3?
    6·2 answers
  • Jacqueline is taking a quiz in her science class. Each problem has only 1 correct answer. Problem 1 has answer choices A through
    5·1 answer
  • Which statement compares the two numbers correctly?
    8·1 answer
  • Help me out !?!??!?!l
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!